Find f'(x) and simplify. f(x) = 5x5 Inx Which of the following shows the correct application of the product rul OA. (5x5) (25x4) + ( In x) ( =) B. (5x5) () + (In x) (25x4) X O ○ c. (5x5) (-)-(Inx) (25x¹) OD. (H) (25¹) X f'(x) =

Q: Question list O Question 1 K Separate variables and use partial fractions to solve the initial value…

A:

Q: Problem #8: Solve the initial value problem, Problem #8: 2x²y′′ − 10x(x + 1)y' + (25x + 35 )y =…

A:

Q: Let f: R→ R be given by f(x) = 2x. Let g: Z → Z be given by g(x) = 2x. Select the true statements.…

A: Given: f:R→R is given by fx=2x.g:Z→Z is given by gx=2x. To Do: We have to select the true statements…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 6s + 36 s² + 12s +85 L-¹{F(s)}…

A: (.)  Inverse laplace transform of the function  F(s) =  6s+36s2+12s+85 .

Q: 1 Consider a system of linear equations y = Ar, where A = is invertible. Observe that when 1 [8]…

A: We have to give a system of linear equations y = Ax, where A is an invertible 2×2 matrix that is…

Q: 22. x² + y² = 4, z = x + y, the coordinate planes, first octant

A:

Q: If R is a field, show that R Frac(R) . More precisely, show that the homomorphism 6: R→ Frac(R) ,…

A: Sol:- To show that the homomorphism φ: R[x] → R[t] given by φ(F(x)) = F(t) is an isomorphism, we…

Q: Tim’s weekly pocket money is $13.50 more than Sam’s. Sam spends $17.70 more than Tim every week. Tim…

A: Given that: Tim’s money is $13.50 more than Sam’s. Sam spends $17.70 more than Tim. Tim spends 5/11…

Q: Find the eigenvalues and eigenvectors of the given matrix. State whether  singular or nonsingular.

A: Solution:

Q: 3. (Exercise 3.4) Prove Lemma 3.3: "Let G be a 2-connected graph. If e and f are parallel edges in…

A: Let G be a 2-connected graph. e and f are parallel edges in G. Let H= G\e We have to prove that if…

Q: 2. Use set-builder notation to give a description of each of the following sets. Use mathematical…

A:

Q: 3. Suppose that A = {2,4,6}, B = {2, 6}, C = {4,6} and D = {4, 6, 8}. Determine which of these sets…

A:

Q: 1) Answer the following questions based on the graphs. Explain your answer for each part. (No other…

A:

Q: Problem #3: Solve the following initial value problem. x"+9xy' + 20y = 0, Problem #3: y(1) = 7,…

A:

Q: Problem #4: Consider the following ordinary differential equation: y(5)(x) + 3y(4)(x) + 11y"''(x)…

A: We know, Form for finding particular solution for method of undetermined coeffecient for: ax2 is…

Q: 4)-6 y + 13 y"-24 y +36 y=2e³x+cos(4x) + 5 that r₁2i is a root of the characteristic equation. =

A:

Q: (Show your solutions including Venn diagram) A group of 65 students were surveyed, and it was found…

A: Solution:

Q: Find f'(x). f(x) = 5xex

A:

Q: Let T₁ M22 P₁ and T₂ : P₁ → R³ be the linear transformations given by T₁ ([a b]) = (a+b)+(c+d) æ and…

A:

Q: ercise 59. Find all conjugacy classes of S3 and S4.

A: Conjugacy class of S3:-  To find the conjugacy classes of the symmetric group S3, we…

Q: The number of vehicles sold by a major Toyota showroom in a day was recorded for 10 working days .…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Translate the following symbolic sentences into English. Make your answer as concise as possible.…

A:

Q: solve the following system of linear congruences x ≡ 2(mod 14) x ≡ 16(mod 21) x ≡ 10(mod 30)

A:

Q: Q2: Find the fixed points and their stability for the following differential equation, and analyse…

A:

Q: Suppose that f is differentiable function and f'(x) ≥ 2x - 1 for all x = R. If f(0) = 1, Question 21…

A:

Q: Formulate a system of equations for the situation below and solve. A manufacturer of women's…

A:

Q: Problem #10: Find a particular solution to the following differential equation using the method of…

A:

Q: Determine whether the mapping T is a linear transformation and, if so, find its kernel. T: M22 → R,…

A: Definition :  Let T be a mapping from the vector space U(F) to the vector space V(F) such that…

Q: 3. Let S be the part of the paraboloid surface that lies between the cylinders z = (x + 1)² + y² - 5…

A: (a) To determine whether F is a conservative vector field, we need to check whether its curl is…

Q: Compare the quantity in Column A with the quantity in Column B. Column A Column B x, when e^(x)=15…

A: Compare the quantity in Column A with the quantity in Column B. Column A Column B x, when e^(x)=15…

Q: Tell whether the given statement is ALWAYS TRUE, SOMETIMES TRUE, or NEVER TRUE. "Twelve is four more…

A:

Q: m, y = 3x.

A:

Q: Determine whether each of the following statements is true. If true, prove it. If false, give a…

A:

Q: d. -2 -1 0 72 1 2 y 965 69

A: A quadratic function is the type of ax2+bx+c=y where a is non zero  We put values x and y in tables…

Q: 1 Let M be a 3×3 magic square with magic number s. (a) Prove that the sum of M's entries is 3s. (b)…

A:

Q: . Prove each of the following: (i) The set R of rational numbers is first category in the set of…

A: As we know that singleton subset of ℝ with usual topology is nowhere dense. And ℚ (set of rational…

Q: 13335 2.2. SYMMETRIC AND ALTERNATING GROUPS Exercise 52. Compute the orders of the following…

A:

Q: Consider the DE which is linear with constant coefficients. d²y dr² First we will work on solving…

A:

Q: Consider the function z = f(x, y) implicitly defined by Þ(x, y, z) = x³ + y³ - 2² + cos(xz) = 0. a)…

A:

Q: Find f'(x). f(x)=5 In (7+x²) f'(x) =

A:

Q: Tell whether the given statement is ALWAYS TRUE, SOMETIMES TRU 'When a number is multiplied by zero,…

A: Given statement "When a number is multiplies by zero, the result is always zero."

Q: Construct a stem-and-leaf display for the following data. (Enter numbers from smallest to largest…

A: Arrange the data in ascending order : 6.5, 7.5, 7.5, 7.9, 8.3, 8.3 , 8.8 , 8.8 , 9.7, 9.8, 10.2,…

Q: Describe the region in polar coordinates.

A:

Q: Consider the sample space S={ copper, sodium, nitrogen, potassium, uranium, oxygen, zinc), and the…

A:

Q: There are no trees for which h800 The number of trees for which 300 is 8 fewer than the number of…

A: As per the question, we are given some information about the number of trees in a forest based on…

Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: f(x)=ln(5x) f'(x)=515x = 1x f'(c)=1c   it is required Red cord.

Q: Find an equation of the line that passes through (-5,-7) and that is parallel to 5x +9y+27=0. Give…

A:

Q: 1. Find the derivative f'(z) if it exists, and state where f(z) is analytic. *(i) ƒ(z) = (1 − 3z²)4.…

A:

Q: Tell whether the given statement is ALWAYS TRUE, SOMETIMES TRUE, or NEVER TRUE. -5/<-/-/ Always True…

A:

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: